A stability model for the striping phenomenon in ultrafiltration

Poul S. Larsen*

*Corresponding author for this work

    Research output: Contribution to journalJournal articleResearchpeer-review


    The appearance of stripes near the membrane in cross-flow filtration of dyed solutes in water is modeled as a hydrodynamic stability problem of parallel shear flow in a channel of small width.

    Spanwise harmonic perturbations in thickness of the concentration boundary layer give spanwise variations in permeate flux which cause cells of streamwise vorticity that are sustained by the shear flow. States of neutral stability are determined by linear theory, giving the spacing of stripes as function of a modified Reynolds number based on permeate flux, channel width, and its ratio to the boundary layer thickness. The present simple model predicts instability to occur at considerably higher values of modified Reynolds number than those prevailing in experiments showing stripes.

    Original languageEnglish
    JournalJournal of Membrane Science
    Issue number1
    Pages (from-to)43-56
    Publication statusPublished - 1991


    • Concentration polarization
    • Hydronamic stability
    • Theory
    • Ultrafiltration


    Dive into the research topics of 'A stability model for the striping phenomenon in ultrafiltration'. Together they form a unique fingerprint.

    Cite this